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Finding the Fourth Proportional to 516,258,211.70, 723,298,973.50 and 516,258,211.70

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Solution

The fourth proportional to 516,258,211.70, 723,298,973.50 and 516,258,211.70 is: 723,298,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,258,211.70 : 723,298,973.50 = 516,258,211.70 : x
  2. Step 2: Convert to fraction form
    516,258,211.70/723,298,973.50 = 516,258,211.70/x
  3. Step 3: Cross multiply
    516,258,211.70x = 723,298,973.50 × 516,258,211.70
  4. Step 4: Simplify right side
    516,258,211.70x = 373,409,034,583,555,712
  5. Step 5: Solve for x
    x = 373,409,034,583,555,712/516,258,211.70
  6. Step 6: Final answer
    x = 723,298,973.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.